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Finding the Fourth Proportional to 105.63, 158.46 and 57.51

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Solution

The fourth proportional to 105.63, 158.46 and 57.51 is: 86.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.63 : 158.46 = 57.51 : x
  2. Step 2: Convert to fraction form
    105.63/158.46 = 57.51/x
  3. Step 3: Cross multiply
    105.63x = 158.46 × 57.51
  4. Step 4: Simplify right side
    105.63x = 9,113.03
  5. Step 5: Solve for x
    x = 9,113.03/105.63
  6. Step 6: Final answer
    x = 86.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.